Is a lich aware of its phylactery being destroyed?

Let’s say the party who are going up against a lich discovered where its phylactery was and how to destory it. They manage to get to the phylactery without the lich knowing about it and destory the phylactery.

Would the lich be aware that its phylactery had been destroyed? Is there anything in any official D&D publication that states whether or not a lich would know that its phylactery had been destroyed? I’m playing 5e, but lore from any previous edition is welcome if 5e doesn’t have any information on this.